120074960520 has 352 divisors, whose sum is σ = 419464013400. Its totient is φ = 30898215936.

The previous prime is 120074960501. The next prime is 120074960531. The reversal of 120074960520 is 25069470021.

120074960520 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 49 + 605 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63132592644 + 56942367876 = 251262^2 + 238626^2 .

It is a super-2 number, since 2×120074960520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 68495964 + ... + 68497716.

Almost surely, 2^120074960520 is an apocalyptic number.

120074960520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120074960520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209732006700).

120074960520 is an abundant number, since it is smaller than the sum of its proper divisors (299389052880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120074960520 is an equidigital number, since it uses as much as digits as its factorization.

120074960520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 120074960520 in words is "one hundred twenty billion, seventy-four million, nine hundred sixty thousand, five hundred twenty".